College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 2 - Section 2.1 - The Distance and Midpoint Formulas - 2.1 Assess Your Understanding - Page 155: 23


$2\sqrt{17}$ units.

Work Step by Step

RECALL: The distance $d$ between the points $(x_1, y_1)$ and $(x_2, y_2)$ can be found using the distance formula: $d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$ Use the formula above to obtain: $d=\sqrt{(3-5)^2+(-4-4)^2} \\d=\sqrt{(-2)^2+(-8)^2} \\d=\sqrt{4+64} \\d=\sqrt{68} \\d=\sqrt{4(17)} \\d=\sqrt{2^2(17)} \\d=2\sqrt{17}$ Thus, the distance between the two given points is $2\sqrt{17}$ units.
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